The money is one thing. This is very unlikely to prove good value for money. Just go and look at the top 20 most expensive transfers of all time, and you'll see that only about 3 are actually successes relative to their fees, and at least half are just straight up disasters. Of the others, you can say they played well for their new teams but didn't push their clubs any closer to their major objectives. So what was the point in spending so much on just one player when that intensifies the risk so greatly? Often there was no point. For context, Wirtz will move for the third largest transfer fee of all time.
The other thing is the quality of the recruitment. If you put the money aside - because I think that's a metric that will be almost impossible to ever qualify as a success - and just focus on the quality of the player being added to their squad; then this signing is sensational for them. He's a brilliant player who will probably get better. It's hard to see any world where he doesn't significantly improve them, although it's also true that there's no guarantee of that either.
Liverpool have often focused resources on signing fewer, but higher quality players that fit their exact needs. It's often involved substantial fees for players that were, at the time, slightly baulked at (VVD, Alisson), but a strategy that proved very successful, and much better than the "sign three players for the same price" approach that United often took, which ended up with just lots of mediocre players on high salaries and no improvement to our best XI. However, this is one situation - and my example is really strongly indicative of the scale of the fee they are paying - where I much prefer signing Cunha and Mbuemo for nearly the same money as just Wirtz. If you gave me the choice of the two scenarios, I would take Cunha and Mbuemo every day. For Liverpool, however, bringing in that one major difference maker to an already very strong squad, makes perfect sense, and I am sure they would take Wirtz over the combo of Cunha and Mbuemo.
Thing is, I think this will be looked as a great signing for them when one just looks at how he plays over the coming years; but I think he will likely be viewed as a disappointment or failure when he's looked at as a player that was signed for over a hundred million pounds. The size of the fee means that it's hard to win any value for money argument here. There are virtually no players, ever, who have justified a fee of this size, and that includes players who were better than Wirtz is now.
Liverpool have finally sat at the big boy table when it comes to transfers, and made their way onto that hallowed list of biggest all time transfers. Big d*ck player. Thing is, they are just as likely to discover that this list is in fact mostly a collection of over compensating Chairmen, poor due diligence, capricious fan driven fantasy signings, and hubris. Welcome to the club LFC.