Do you really need a VAT ID though? There is the “reverse charge” mechanism, which IIRC you can use until you sell a lot in any given country. (IANAL)
Not a dealbreaker in itself, but the sort of little thing you don't want to build a stack of. Shady PO-box address, Yahoo contact email, expired ssl certificates etc.
But if you’re not liable for VAT in a given EU country yet, I suppose you can then just skip it? There are some countries with low thresholds (like 15k € in Cyprus or 0 € in Belgium) but if you’re keep clear of those, do not cross thresholds anywhere, and are doing B2B only, you’re in the clear, right?