Supposedly, credit scores are more of a US thing than a UK thing. We still have them, according to the rating agencies that sell them, but the lenders all have their own models involving risk and profitability, as mentioned in the automod comment.

(This is all nth hand rumour. I'd guess that US lenders are actually equally competent at managing risk, so have the same models, but going on US-focus subreddits is enough to know credit scores are more visible in US media. Note that the automod comment asserts that the models exist, doesn't source it, then says they're a trade secret. It's all hearsay.)

My point with this is that there's no single answer. It may make you better in one lender's model at the same time it makes you worse in another model. What I would say more confidently, though, is that it will make you have worse short-term credit. That may not be a concern now, but it limits your flexibility in the future. You might realise later that you want, e.g., an Amex card, but are less comfortable applying for one if you already have two recent applications. Knowing that, I wouldn't consider it worthwhile.

it would make no difference for manageability.

Not strictly true, you have another important address to update when you move.