When you say the Skylift is in the way, do you mean it can still be done, just with some annoyance? I will move forward with swingarm maintenance as well, if that us the case.You can lube three out of the four (including the most exposed) linkage bearings with the bike on the centre stand and a support under the rear tyre to stop it dropping. If you remove the rear wheel you can also remove the swing arm completely.
In fact the abba skylift just gets in the way (and I have a skylift myself) for work in this area tbh.
Have you tried to use a standard putbull or similar front fork stand while using the skylift to achieve a level lift?