I have a 2021 Pivot Switchblade. Bought it in the spring of 2020. I fell for all the hype around 29ers as being the new normal in mtn. bikes, and never really fell in love with the attributes of a 29er. Switchblades come with a flip chip that allows you to change the height of the bottom bracket and the dropout on the rear chainstay, and are compatible with being run as a 27.5 or a mullet, in addition to the 29er. About a month ago I decided to try a change to the geometry and changed the bike to a mullet. The result for me was a completely different bike, and one that I like a lot more. First, it takes a lot less effort to climb with the smaller wheel on back. With the flip chip in the high position the drop in seat height was minimal, and there was only a slight slackening of the front fork. The front end behaves entirely different. It is quicker and more nimble, and it goes downhill over technical terrain better. I wouldn't convert a bike not intended to be a mullet, but with the flip chip it works great. Just thought I'd throw my experience with the conversion out there for people considering the same thing.
What you are describing isn’t necessarily due to the wheel size. My experience with messing around with bottom bracket height on a 29er creates exactly the same results you describe. Basically, if you raise the bottom bracket in relation to the rear axle ( reduce the BB drop proportional to the axle) then you get a bike that is easier to manual, climbs better and is noticeably quicker to turn in and lean. I also find it makes the bike quicker through chunk and rocks. The downside, not as stable or planted, particularly in fast corners. It can make a dramatic difference to agility and what may be perceived as playfulness. unfortunately not many bikes allow you to easily play with bottom bracket height in isolation.