The M52 is hydraulic yes, they all have springs inside to push against the chain guide when the engine if off/starting/low oil pressure, this spring wears with age/heat and loses its pressure. The bore/piston of the tensioner can also become scored/worn and as such oil will pass reducing its effectiveness, therefore replacement of the tensioner is recommended
Good pic here showing new vs old from an E46 330i
This looks like your pictured tensioner to me, its the same as E36 singla vanos M52 tensioners
If you cant get the piston out then it may have a wire clip holding the two parts together, M52 (early single vanos) tensioners dont have this clip, or it may be very scored inside which is stopping it coming apart. Either way I would get it apart so you can inspect the parts to see exactly what you should be replacing it with
If you google the part number Henry posted above you can see the S52/S54 tensioner is different to what you have removed
I have a couple of Alpina engines at work so I will try and remove the tensioners over the weekend at some point