Do bit rates on a single flow stay the same across many hops?

Say I have a 10Mbps egress shaper on an interface, and I start a large upload to a remote site out that interface.

The 10Mbps shaper smooths the traffic out not letting it burst above 10Mbps, and hopefully the flow control built into whatever protocol the upload is using should ensure the sending station slows down to 10Mbps, so it doesn’t over run the shaper and result in excessive buffering and drops.

At this point my flow should be an even, steady 10Mbps flow as I hand it off to my carrier.

Question: at the distant end which may be 2-3 autonomous systems away, and 30-40 router hops away, the packets arrive at my remote site.

Is that flow arriving in a steady even 10Mbps bit rate?

Measured at every single hop across that path, does the bit rate on that flow remain a steady even 10Mbps?

If not, what’s going on?