22-5-40,
It's combination of what works for you and what doesn't. The rifling also has a bearing on the matter. Many rifles have grooves 5-6 thou' deep others like precision target rifles may only have grooves 2-3 thou' deep. Providing the bullet is large enough and soft enough to bump up on firing, the lands should cut through the paper patch so that it separates in the first few inches of free flight. Failure to separate may not mean much if your hunting in timber, but if you shooting at 1,000 yards range at targets, the accuracy will be terrible even assuming you get everything else right.
The Sharps Rifle Company used to paper patch bullets by the thousands each day and employed a large number of girls to do the patching by hand. Later Hugo Borchardt designed a machine to do it. This machine had a paper patch magazine which was spring loaded and presented each new patch in front of a low powered jet of steam. The speed that the machine worked at meant the individual patch was barely moistened before it was used, this moisture slightly shrank the patch after it was applied and dried, so it was a tight fit. Lube was invariably put beneath the bullet in-between two card wads. All Sharps ammo was made like that and so was all of the ammunition supplied to the British Army and Empire troops in tens of millions.
All PP bullets should be smooth sided without grease grooves, the latter just slow the bullet down faster at longer ranges. Grease on the patch will not help with patch separation at all, it may even make it stick harder to the bullet. I am aware that some PP ammo has been found that looks as if the patch is greased or oiled. I would suggest that this was likely applied later by accident or design by individual shooters, an oiled, waxed or greased patch will pick up dirt and other muck over time and that won't do any good at all to a rifle barrel.
In the end, you pays your money and takes your chances. Experiment, see what works for you.
Harry.