Cross-invoicing idea

Hey guys!

Here is a simple idea (for legal business only):

1. let's say I have a company in some high tax country (US, Canada, Germany etc.).
2. I also have a company in low tax country Bulgaria, Cyprus, Ireland you name it
3. You have a similar setup.

Problem: I can't issue invoices from Bulgaria to my US/Canada/Germany company as the names of both UBOs and bank owners are the same: me!

Solution: issue cross invoices for the same amount from each other's low tax firms to high tax firms.
In the beginning while trust is building have small amounts $100-$1000 per invoice. Then it can rise or depending on the amount frequency of invoices can increase.

Pros:
1. basically untraceable if done the proper way
2. No need to exchange any amounts after the transaction was done because each party received the same amount
3. Firms/people are not connected in real life

Cons:
1. Initially no trust between partners
2. Risk of de-anonimization

Would be interested in your opinion