Michael does it make a difference to stopping power ? I've had my Alpine for 40 years and have never run out of brakes . I admit I'm new to Tigers but mine seems to pull up very swiftly whenever I hit the brakes. Maybe I drive like a Nana now (but certainly didn't 40 years ago) I often wonder when people say that the brakes in old cars are no good if they are not in good repair and set up properly - We experience this a lot in vintage car circles with many converting to hydraulics in the belief that they are superior but the mechanical rod brakes on my 1934 and 1930 Ford will lock up all the wheels and lay down a trail of rubber from each wheel if I want them to.
The fronts do most of the stopping.. so upgrading the fronts is step one... Once they are updated then it's about getting a rear setup to balance it out
As for braking... The brakes if in good condition are as good as they were in period.. the modern tyres would help them be better than in the day...but.. by modern standards they aren't great and there are a lot more cars on the road.... And people cut in these days expecting people to behind to be able to stop with modern distances..... š
As for Alpine v tiger... The Tiger is a lot heavier at the front and puts more weight forward... Also .. Tigers tend to get up to speed a bit quicker than the Alpine... So you may be stopping from quicker speeds in shorter distances....
Drive appropriately to what you have š