In the context of motor oils and that they may/can cause damage to bronze bearing The oils being referred to are the EP type gear oils best known as axle oils when vehicles (cars and light vans)had a crown wheel and pinion rear axle. The commonest was EP90, a fluid with a viscosity so high that one could knock over the container and it would not spill out for some time – why one would use such a lubricant on a lathe i have to question ? I has a most unpleasant smell and it will take many washes to remove it from ones hands. For our purposes multigrade engine oil or synthetics are wasted.
This topic is a regular visitor to the forum ! Any oil is better than a dry bearing ! Hydraulic is designed for a much harsher environment than a lathe ( even a Myford ) so ISO 32 hydraulic or SAE 10, they may well have anti foaming agents, no problem ! There is also a straight SAE 10 engine oil that will work if that is what you have. Then the bed etc A STRAIGHT SAE 30 mineral oil ( classic car engine oil ) or ISO 68, this is not a multigrade and does not have the viscosity modifying polymers Etc in it that may concern some.
Of the lesser known oil producers is Morris Oils and Witham oils and Paints. I have used both ! Noel.