I must say I have
never put a wheel back and relied on the adjusters locked in the previous position.
The chain is only correctly adjusted when the play is optimised and position of both adjusters are matched by small adjustments each side. That is done before the axle is bolted up and the adjusters are under tension when doing so. There is play between the adjusters, washers and axle but that is negated when all is pulled equally in the same controlled direction. That goes for whatever reason the wheel is removed; tyre, chain, brakes, bearings...........
You can put the axle back in and tighten it up on the locked adjusters (difficult in my opinion) but there is no cetrainty either side is correct, especially if the chain was too slack before, and if it was it will still be!
You can argue there's not much to worry about but quite honestly it's lazy and not good practice. The garage is your 'expert' when it comes to safety above all and it is only a couple of minutes to the well trained.
