Old timers in shop will insist on whatever they want.
Many will always fear the price, the word synthetic, the newer technology available.....
You should grab an HDEO 0w40 or 5w40 if you plan on starting it in the cold all the time. Even a 10w40 HDEO is worth considering. You can 'teach the shop'.
And, if synth is not in a budget, if available, definitely use the 10w30, 10w40, or 5w30 HDEO's during the winter.
Synthetics and cold climate fluids are also available for the hydraulic systems.