I remember BP Corse 50 (?) from years ago, maybe 12 or 15 years ago, and it was a spectacularly good racing engine oil. The heavy viscosity component was a high molecular polymer which was very effective.
I recall someone at BP New Zealand saying, and this may not be applicable everywhere, that for cost savings BP NZ had replaced the high viscosity polymer with a high viscosity mineral component, and Corse 50 became a mediocre lubricant.
Some polymers can give problems, viscosity index improvers (VIIs) are polymers, and some can contribute to sludging. However we can't make a mineral oil based multigrade without them.
Polyalphaolefins (PAO) are polymers, and they're the major synthetic basestock used in synthetic engine oils. Also you couldn't make a smoke-free two stroke motorcycle engine oil without poly-isobutene (PIB).