My understanding is yes, you do, but like I say I’m not an accountant.
When I say reverse charging is “more of a pain”, the issue is that the goods acquisition rules that QuickFile uses when you tick the “apply reverse charge” box (put the VAT in box 2 and the net in box 9 of your return) specify that those transactions must be recorded on an accruals basis in all cases, regardless of whether you use accrual or cash accounting for your normal sales and purchases. But as far as I can tell from the information I’ve found online this doesn’t apply to the reverse charge rules (VAT in box 1, net in box 6) - reverse charge transactions are accounted for in the same way as your other sales and purchases, so on a cash basis if you use cash accounting.
I personally use accrual accounting anyway so when I have a reverse charge transaction to account for I do it by ticking the so-called “reverse charge” box and then manually adjusting my VAT return to subtract from boxes 2 and 9 and add to 1 and 6; this is fine for me as everything is still correct on accruals basis. But if you do that when you’re on cash accounting it’s not technically correct in cases where you were invoiced for the service in one quarter but didn’t pay for it until the next quarter (under cash accounting it should be dealt with in the quarter when you paid rather than the quarter when you were invoiced).
I’ve worked out an alternative way to deal with the reverse charge which works whichever accounting scheme you use, but I haven’t tried applying that myself since as luck would have it I’ve not actually had to reverse charge anything since then (the only thing I’ve ever had to RC is Stripe fees and I closed down my online shop a few months ago).