I personally woudn't put Ospho on perfectly good galvanealed metal...
For Galvanealed I'd use a Self-etched automotive primer...
Etching primers use an acid component to do the etching. In most cases this acid component is phosphoric acid. As 'ospho' and similar products are, in fact, phosphoric acid solutions, the advice to use an etching primer but avoid ospho is contradictory, and (potentially) incorrect.
The fact is, it's very common for paint/primer manufacturers to recommend using ospho & similar treatments to prep galvanized steel for coating, which is by its very nature a real challenge to get anything to stick well to. YMMV, but to me, the smart money is on listening to what the manufacturer says, and doing exactly that - to the letter. Neither you nor I know better than they do.
An Enamel based coating will also bond to the self-etched primer making it stronger after the Enamel dries
This isn't (necessarily) accurate. If you lay down a layer of 'X', allow it to cure fully, and then apply 'Y' over the top, the only 'bonding' that's going on is purely physical in nature. Which is why nearly every paint product available advises you to sand appropriately before top/re-coating once outside the recoat window of whatever you're applying.
Likewise, if you lay down a layer of 'X', and then apply 'Y' over the top within the recoat window and prior to full cure, then chemical bonding is possible, but only if the products in question are compatible in this manner. Considering the multitude of paint chemistries, the potential for poor results is great if you're not careful choosing products meant to work together.
Regardless, a topcoat doesn't do anything to make the underlying primer 'stronger'. If your primer isn't adhered well - it isn't adhered well - and nothing you put over the top will change that.
I once again caution against generalities. Lots of things qualify as 'enamel coatings' and 'etching primers'. Just save yourself some grief, read through the product literature, and do what they say. Then remind yourself the next time you paint that those instructions were only applicable to the product(s) you used, and in the capacity in which you used them.