In my opinion, that's a fairly low requirement for a CDM and not really worth 9 figures or anywhere near it.
Major gripe about Rice is the price to be honest. I think he's good at what he does, especially for his age, but because the requirement is fairly limited, I value him as £50m-60m player. There's about a dozen players that do what he does at the same level and will cost less than half, they just might be 2-3 years older and not English. And for those who say "why do you care, the money is not coming out of your pocket", so long as the club has finite financial resources it affects the club's transfer strategy and I care about that.
Additionally, people are being really short-sighted if they think we only need a CDM next summer to replace Matic, in my opinion. We tried to sign a RB (Trippier) in the summer and failed, which only tells me we're likely to be back out on the market for a RB next season unless Dalot convinces Ole. There's also there's a distinct possibility that Pogba won't renew and will leave. On top of that it's quite doubtful at the moment that Donny will become the playmaking CM we want him to be and that he'll be here past next summer. In that case we might well need a playmaking CM to replace those two and bring some genuine passing ability to our midfield. Finally Cavani will surely be leaving next summer and Martial's days are starting to look numbered too. With Ronaldo 37 and on his final year we'll need another option upfront and a succession plan. So we might be in for a striker as well.
In other words, we might be in for the usual 3-4 players, like every summer basically. Spending all, or the vast majority, of our transfer money on Rice doesn't sound like clever strategy to me.