That's right, that's the purpose of a forum - to offer alternative opinions. If you travel minimal distances, say 10 miles there and back, once a week, slowly, and don't care about sprocket/pulley mis-alignment, accelerated belt/chain wear and expect mechanical failure as part of classic bike ownership, then the above advise will be fine.
If you plan on actually using the bike then you should have no movement on the shaft except possibly a little end float - no side to side movement, if you've got 1-2mm as suggested then the sleeve gear bearing/bushes are completely worn out and require replacement and possibly the mainshaft too. Clutch basket does not float on the shaft, it is secured by the clutch hub which is connected to the basket via the clutch bearing. Clutch hub is splined to the mainshaft and secured by the mainshaft nut torqued to 70lbft and loctited. Clutch basket/pulley/chainwheel wobble could be caused by worn bearing, inner bearing race spinning on clutch hub or clutch hub loose on mainshaft due to clutch mainshaft nut coming loose due to insufficient torque or a combination of all three. The only free play you should feel will be the bearing internal clearance i.e next to nothing.