I'm afraid that this response is an example of automatically seeing this issue entirely from an indy vs union position. In most cases, EU funding is provided on basis of co-financing, which meant of course that it is done in agreement with a devolved government or local authority https://twitter.com/dhothersall/status/1303953552780427264
That has many advantages. It means that projects have to be taken forward in co-operation with the relevant authority, and are not imposed or parachuted from above (which, if done, tends not to produce the best results or value for £ or €).
3 reasons why UK govt proposals should be opposed. (1) As far as I can see, UK govt intention is to fund directly rather than on basis of co-financing/co-operation. Of course, it might from time to time to do so jointly, as it has with City Deals, but that doesn't seem to be idea
(2) If you support devolution, as originally conceived before 1997, then principle should be powers should be devolved unless good reason for them to be reserved. I can't see good reason to reserve powers in areas where currently most is delivered by devolved govts/Parliaments
(3) Over-centralisation is likely to lead to less accountability which in turn can lead to worse outcomes. Current City Deals process in Scotland is good example, where UK direct funding is skewing outcomes, and producing results which don't really reflect local priorities.
Of course, there needs to be co-operation in many of these areas where powers will return from EU. If UK govt wants to have these powers, it should be clear in the legislation that they should only be exercised in partnership with the relevant devolved administrations.
Also worthwhile bearing in mind that EU spending programmes emerge from a thorough policy development process, involving stakeholders, and democratic accountability through its various institutions. Working on the basis of consensus and co-decision making.
I doubt that is what the current UK govt intends. More likely it is to give it the powers to promote flagship projects to support its own political agenda in Scotland. That is why it is right for @nicolasturgeon (and also Labour's spokesperson @Alex_RowleyMSP) to oppose them.