Really? Lets put aside the argument if you do or do not like "bits" as a unit. You honestly would be confused. You can't determine the meaning of the word from the context even though you do it for thousands of other words every single day.
My internet connection is blazing fast, it is 50 Megabits per second. Would you honestly believe he was saying his internet connection generating 50 million bits of currency a second? Really?
The tickets are 5,000 bits. Would you honestly be trying to figure out how they compressed the concert tickets to be less than 1KB? Really?
Ok, I think you're trying to get me to address whether or not I would be confused. And I think you're right to put it into context. If you say "my internet connection is fast, 50megabits per second" then there's very little chance for confusion because you primed me with the adjective "fast". However, in your second example, you use the semantically bleached "are" which is interpretable in many different ways, so I like this example. Now imagine these are etickets, you say "tickets are 4096 bits". Are you talking about the price of the tickets in bitcoins or are you talking about the size of the tickets as a network packet? Presumably, in whatever context our conversation occurs, we can disambiguate this. However, I think it's clumsy to use a unit of size on a network to indicate an arbitrarily placed decimal amount of a currency that's basically transmitted in packets over a network. I really do think this is a lot like saying, I have a new name for price of 3 bottles of soda water, we're going to call it a "litre". So, yes you can now buy 6 litres for 1 litre.