This question about this size tyre has come up dozens of times, no it's far more than that!!
First then, many manufactures seemed to have fallen in love with this tyre size and fitted it to a broard range of weights of van, some it was perfectly suitable for but others not so if you consider running a tyre at it's maximum is not best practice?
Next though this particular tyre size fell out of overall favour so became scarce to source and expensive if you did find them.
Thankfully then there is a simple solution, you change the tyres for Commercial van tyres, you have three choices, if a mover fitted, 175R14C 99, or, 185/75R14C 102, these being the same diameter as original should fit without need to adjust mover. If though no mover 185R14C 102 is slighty taller and will raise the van about 10mm.
All these three are of a different heavier construction so for a given weight, all need different tyre pressures from each other, and, all of which are totally different to the originals tyre pressure of 42psi for maximum stated load.
So and while I can fully understand your dealer sticking to original fit tyre size so he can use original therefore known tyre pressure, to then go on to suggest putting 62psi in them is very much another matter?!!