score:6
You are under a long-stay or resident status by virtue of holding a valid residence permit. To the extent that you do get it, you have nothing else to do. This is not different from your first residence permit application back in 2020.
Schengen border guards don't really admit you under a specific status. They also cannot grant a specific duration of stay or limit what you are allowed to do, as border guards can in the UK or in the US. What happens after you entered is entirely controlled by the law (mainly EU law for short stays and mainly national law for long stays) and the specific visa you hold, for those who require one (which is not your case), not the border guard's decision. Instead, border guards just decide to grant or deny entry, period.
The only (theoretical) risks I see is being denied entry or being deemed to have abandoned your application by leaving the country. This can happen in other contexts but I don't see it as particularly likely in your scenario.
Upvote:-3
You need your verblijfsvergunning to be able to live and work in Holland. Don't change to tourist visa, it's not needed to travel within Europe unless UK changed their laws. Then apply for a UK tourist visa don't change your Dutch visa. And try to call the Dutch people that approved your verblijfsvergunning to ask for a physical or at least a digital confirmation of your status.