What's the temperature of the return pipe, just before it goes into the boiler(s)?
If it's hot (like 10-20 degrees below the flow) and you have some unhot radiators, you have a balancing problem.
If it's not hot, the heat is being lost , so check the gas rates on the boilers. If they've modulated back, they think they're hot enough. Read the manual to see if you can alter that.
If the boilers are flat out and the return's cool, they're undersized (unlikely).
If as seems likely, your boilers are modded back, and your rads aren't hot enough, then you're short on pumping. An external bypass would make things worse. What I suspect you'll have to do is wind up the internal bypass pressures, to something like 0.4-0.5 bar ( 4-5 metres) in order to get the hot water round the system.
I've had to do that when using a pair of combis in big houses.
An alternative is to CLOSE the internal bypasses, and put in your own externally, right at the END of the system, ie across the last rad.. Think about it - if all the rads get shut, then you still have the bypass protecting the boilers, but it can't starve the rest of the system of pressure.