For statistical data about Axelar, please see axelarscan.io.
Axelar’s revenue is generated via fees for asset transfers and GMP (General Message Passing) calls. The Axelar network charges a relayer gas fee for all cross-chain token transfers in order to pay for network-level transaction (“gas”) fees across chains. The relayer gas fee amount depends only on:
The asset
The source chain
The destination chain
The relayer gas fee does NOT take a percentage from the transfer amount.
For a higher level explainer post on gas fees, you can check this article as well: Cross Chain Gas Costs on Satellite Explained.
The gas fee a user pays on a source chain (say, Ethereum) for sending a transaction using the deposit address on Axelar.
The gas fee it takes to “process the deposit” address and route the funds to the Axelar Gateway contract.
The relay fee to the Axelar network + the relay fee to the Osmosis network (often subsidized by projects who incentivize operators to do relaying).
Further references:
You can check bridge fee here Mainnet | Axelar Network
You could also check it from here Search - GMP | Axelarscan