John's answer is spot on.
The 3 amp limitation is for the transformer, not the terminal block or wiring. For example, if there was one accessory hooked up to the terminal block and turned on that drew 5 amps or ten accessories hooked up to the terminal block that drew a total of 5 amps (and they were all on at the same time), then the fuse/breaker in the transformer would trip (or worse) because the total amp draw exceeded the capacity of the transformer accessory outputs.
That's an extreme example just to prove a point. In reality, most non-operating small accessories like street lights are in the tiny milliamp range and even buildings like the Menard's Melrose Train Station only draw 110 mah (you could hook up 26 of them before you'd exceed the 3 amp rating) and large structures like Menard's National Power & Light building only draw 550 mah, so you can put a fair amount of items on each terminal block before you reach the transformer's amp limit for that accessory port and, like John said, even if you have accessories hooked up to one block that exceed the amp limit, unless you're turning them all on at the same time, which would be unusual, you're still safe.
Finally, when you're looking to buy lighted accessories, try to purchase ones with LED lights if you can, as opposed to conventional lighting, because the LED's draw less amperage, which means you can hook more accessories to each block.
Forgot to add that even thought MTH is going out of business, I would not hesitate to buy these terminal blocks - they're pretty simple and straightforward and there's not much that can wrong - I've never heard of one failing as a result of a manufacturing defect, but there are others on the internet if you want to take a look.