I read in several threads that mirrorless cameras have a difficult time focusing on small objects, birds specifically, at times. This is most apparent when focusing first in the distance, then trying to re-focus on an object that is closer to the photographer.
I have never noticed this on my ancient D500.

Can this be problematic for bird photography? Don't want to find out after buying a Z9.
Many thanks.
Much of what is posted about mirrorless cameras having problems is overblown and not remotely applicable to the Z9/Z8 and other flagship bodies or those with the same tech. If true it goes back to the much older generation of mirrorless models.
I shot DSLRs until the Z9 came into my hands when after not many weeks I decided to sell all my f-mount gear. That was a pair of D850, D5, D500 and 30 F-mount lenses -- to fund a 2nd Z9 and my complete transition to Z-mount glass. I have been actively shooting for over 40 years and the last 2 have been the most fun and liberating. Finally we have tools that make our job much much easier.
There simply is nothing like shooting with a black out free EVF -- no OVF or other mirrorless body gives one this.
Shooting with a camera that adjusts AF every 1/120th second improves even older F-glass.
Shoots 45.7mp Lossless RAW at 20fps and with one button press can switch to a 19.5mp DX crop or 120fps 11mp jpg image.
Allows 24 buttons and rings to be allocated functional roles (depending on type of lens) -- including in my case 5 different AF-modes +AF-ON and so on......
No more concern about f/8 and restrictions of which lens can be auto-focussed on a body -- they all work
100% zoom in and out again with the press of a button.
The Z8 is the Z9's almost equal younger brother and this lighter and smaller tool is proving to be ridiculous.
and more and more
I do become weary when folk go on about the fact that their camera finds and locks on to a subject when it is so tiny in the frame that the focus point completely covers it -- often they go on to say "I take the shot" AND I ask WHY.
Why waste a shot when the subject is so tiny and simply will not resolve.
Wait until the subject is larger in the frame then take the shot - I have had no issues locking onto large birds at a distance with my Z9, nor fast jets and a host of other things -- but I wait. I shot Lanner Peregrine Falcons diving around me (well technically at the lure their handler was swinging) handheld with a Z9 and 600mm.
Simply not possible with a DSLR and its slow and limited Af-point coverage.
Sure the last 15 months with the Z9 has been a journey. And now with the Z8 as well and seemingly more and better firmware that journey just keeps getting better and better. The journey has been one of my learning and adapting to these new tools - and it keeps going.
The Z glass is just better than the f-glass -- the latest and best lenses have linear AF motors (not screw based) so are faster, are lighter and sharper edge to edge AND the two with built in TC's are simply insane.
The future is in Z-glass not F-mount. Sure there are good deals around now in f-mount and you can use it with the FTZii -- but you are missing out on true syncro-VR, better controls, and more. The 100-400 and 70-200 are vastly better than their f-mount predecessors. AND we will see a relatively cheap 180/200-600 and many many more high-end and more affordable lenses. The 800/6.3pf is an insane lens for birders. My guess is that a 600/?PF will come and so will more higher quality long zooms.