Technically he already has been a Doctor, in an old sketch show of his, but yeah, he'd very likely monster the real Doctor, especially given how much he's honed his serious acting the last decade or so. A truly tantalising idea!
It's harder to do comedy acting, which he excels at. If you've not seen it, check out "Chef!" from 1993. But, damn, he's got the entire range.
True, I did forget about that sketch. I wish he was the Doctor in the official show, though I did like his show from 1985.

I'd still prefer a more consistently serious Doctor again, we've had 4 incarnations in a row that have some comedy act as a primary personality characteristic - all in a show that, until 2006, had radical personality changes where humor would be limited, flawed (by intent), or virtually nonexistent. Even then, lines about french kisses are definitely the avenue of Smith. Today's kids must surely be different if every incarnation has to be the same, while reminding us with a sledgehammer it's about change in the oddest of ways.
I for one enjoyed it.
Have kept well away from production news for this series and was pleasantly surprised.
In the look at part two, was the telegram thingy doing the four beat drum sound?
I'll confess I was looking up a few reviews beforehand, avoiding spoilers but to get a gist. Some of the negativity on some reviewers feels as forced as the ostensibly comedic dialogue Jodie has to slog through.

Especially by that one grifter channel who utterly loves to pretend to do anger acting by repeating his shtick twice in a row. Repeating his shtick twice in a row. And unconvincingly poorly. Unconvincingly poorly. Not even tautology, he is literally using the same words twice in a row. Sorry for trying to do thrice in a row, but he often treats his audience as lamely as the actual show does to its at times (but for wildly different reasons!) The point is, the show HAS noticeably improved when all is said and done, though I'll admit when the plane lost its pilot I was thinking "Remember Jodie's first episode where she plops on Earth after falling sans spacesuit from orbit and hadn't any scratches? Piece of cake." But I let that go because season 11 felt like one half-baked rough draft after another and Spyfall definitely felt more polished.
I read overnight ratings were 4.88M. Consolidated ratings won't be in for a few days and with luck they'll be higher than the 1.2M I am guessing. With luck positive word of mouth will give either a temporary or permanent boost. Series 11 was often bad, hence the overall ratings and the low overnights but if most of those 4.88M liked it we would see a substantial increase for the post-week consolidated ratings. And pt 2's ratings would hopefully add to that as well; if one likes the first week they definitely will return for the next installment.
Time will tell. But so far my hopes have been justified that I'll roll with the new Doctor's trademarks of sonic overuse and rehash of Tennant and Smith jokes. She needs her own humor, not tacking on a predecessor's in the belief that's all it takes because the previous one did the comedy and got big big ratings just because of that.