Is there a value for a single moment of mindfulness (without others) ?

The ultimate Buddhist practise is letting go or non-attachment (refer to Culatanhasankhaya Sutta). Selfless or unselfish acts, such as washing the family dishes, contribute to a mind that can let go.

When the Buddha spoke of mindfulness, concentration, etc, he referred to qualities of mind that have the quality of 'letting go' or 'vossagga':

A monk develops mindfulness as a factor for awakening dependent on seclusion, dependent on dispassion, dependent on cessation, resulting in relinquishment. He develops analysis of dhammas as a factor for awakening... persistence as a factor for awakening... rapture as a factor for awakening... serenity as a factor for awakening... concentration as a factor for awakening... equanimity as a factor for awakening dependent on seclusion, dependent on dispassion, dependent on cessation, resulting in relinquishment ('vossagga'). Anapanasati Sutta

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And what is the faculty of concentration? There is the case where a monk, a disciple of the noble ones, making it his object to let go ('vossagga'), attains concentration, attains singleness of mind. Quite withdrawn from sensuality, withdrawn from unskillful mental qualities, he enters & remains in the first jhana... SN 48.10

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Definitions for vossagga

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Concise Pali English Dictionary vossagga masculine donation; relinquishing; giving up.

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PTS Pali English Dictionary vossagga relinquishing, relaxation; handing over, donation, gift (see on term as ethical Bdhgh at K.S. i.321) DN.iii.190 (issariya˚ handing over of authority)

You don't say what your practice is - unless I missed it - but there is more than one way. Have you considered hunting around and reviewing a few different ways? Life is fleeting and opportunity is soon lost, as is said. Even reading a sutra or chapter a day would be more protective than what you are describing, I think. I hope you find something that works for you.

Imagine some valuable has fallen into a well and you are draining it to get the items. Every bucket of water you take out has a value towards draining it. But if you take buckets of water far apart new water will replace the old and the water level will not go down.

Same with Fabrication. You have to take them out faster than new ones forming, i.e., every moment you practice has a value as long as you practice often enough.

If you have only a single moment of mindfulness it is only two types of thought moments that will be of immense benefit to you. Even other thoughts are OK if you understand the nature of your mind, how merits and demerits form in the mind, how to free yourself from those demerits, and ways to cultivate merits, and then follow such a process with effort. You will then be able to come to the Dhamma gradually. It will be like a hole-less pot being filled by droplets of water with the each drop it receives.

The two thought moments to cultivate are that of Metta and impermanence (Anicca). Such moment thoughts would be of immense benefit (as per the scriptures). Here I did not say loving kindness, as metta is not necessarily an attitude of loving-kindness. It’s more an attitude of goodwill—wishing the other person well, but realizing that true happiness is something that ultimately each of us will have to find for him or herself, and sometimes most easily when we go our separate ways.

Value, let's face it, is an idea - not to diminish the question. Value can be attributable to all and everything that occurs, whether once and forgotten, or consistently applied.

All that can be found is mindfulness, whether realized or ignored. No moment, or what appears in it, can possibly have a beneficial or detrimental effect on some other moment, though a clean sink is bliss itself.

If one's present course of practice is intermittent, it is beautiful. If one's present course of practice is consistent, it is beautiful. If we tie our quality of practice to some preferential outcome, there is binding.

If we fail to see or appreciate the fulfillment of things as they are, our very commitment to practice can reinforce the myth that we are somehow less than enlightenment. Presence is awake, this is irrefutable.

Warmly, NightSkySanghaGuy