Its not the oils base that is the issue, the problem is that most modern oils carry specific certification, to gain these certifications oils must comply with numerous things. One of these things is the zinc (and other)anti wear additive content within the oil, zinc has been targeted as a 'bad' pollutant and has hence been reduced in oils as anti pollution measure with every new certification. The engines mostly affected are those with flat tappet/lifter arrangements(anything non roller), pinto and xflow included.
I have personally used penrite in all my engines for a long time now of which all have a decent zinc content, with excellent results. So for any old school engine Penrite hpr30 is highly recommended as it has a very high zinc content as well as correct viscosity, and not a bad price either.
So its not really mineral vs synthetic but rather what is actually in the oil.