There is potentially a third aim.
As media has noticed in the fine print of these funding requests being blasted at Republicans, in fact huge sums of the money requested are not going to fight the election count as they advertise. In Trump's fund request, half is paying off his 2020 campaign debt. Trump's campaign was... maybe not well managed. It pulled in only modest sums of money, spent like crazy (it was almost bare by mid-October) and ended up with a sizeable debt.
For the joint Trump/Republican fund request, 40% is going into general Republican Party coffers (up to a max. $15000), and 60% to a PAC (up to a max. $5000) - only the excess goes to the recount fund. So donate $10,000 to the latter, it's $5000 to the PAC, $1000 to the recount, and $4000 to the Republican Party. You'd need to donate over $8000 just to get anything to the recount fund.
Just so we all know where the priorities lie.