Yes it matters. I don't have a quote handy but I do recall at least one study (DAN Europe?) associating recreational DCS cases with middle compartments. You normally expect the first stop aka ceiling to be controlled by the fast compartments and on the no-stop dive that stop is the surface. If both are true, then the $15 question is whether SurfGF displayed by your computer is computed from a fast compartment that is not likely to get you bent, and conversely: what about those middle compartments that are. The latter is what the heat map is about.
Obviously if you’ve just dropped in and descended to, for example, 60m/200ft then your SurfGF will very quickly pass 100% as the fast compartments fill. The tissue graph will show this as a spike at the fast end. After five mins your ceiling will be at least 6m/20ft. However your TTS (time to surface) will be quite short — rule of thumb at that depth deco time is x2 — at about 10 mins and will start to clear as soon as you begin ascending as the fast compartments quickly off gas, probably only need to do 5mins at 6m/20ft by the time you get there.
Now run that 60m/200ft dive for an hour on the bottom. The slower compartments now begin to fill as shown in the tissue graph which fills towards the middle. SurfGF will probably be around 300% or more, your ceiling 30ish metres and the TTS at least 120mins with half at 6m/20ft. As you ascend through your stops the SurfGF will steadily drop along with the TTS and ceiling.
BTW on a rebreather if you're in a hurry to get out then keep your PPO2 (oxygen partial pressure) high as that will greatly affect the total deco time. If you're totally
dans la merde, running down the oxygen clock and pushing the CNS with a high PPO2 may be an acceptable compromise rather than extending the dive; may mean a few days off of diving though.
The tissue graph doesn't actually tell you anything that the core parameters -- SurfGF, TTS, Ceiling -- do not reveal. If you're at 6m/20ft and you've an hour to go then it's definitely not being controlled by the fast compartments!
Not sure of the actual usefulness of the graph, which isn't actually calibrated
per-se. It gives you something to look at during your decompression, although some meditation is probably of more use.
If you're doing deeper dives it's probably more useful to carry another computer set to an "emergency" GF such as 95:95. That will answer the question of "how quick can I get out of the water without getting bent" (actually "with an acceptable risk of not getting bent"). The miserable fact is that's not much faster than your standard gradient factors, maybe 10 mins over a long deep dive.
What does this mean...? Plan your dive. Carry sufficient gas for the risks you've analysed. Set your limits and don't exceed them. If you're on a rebreather you'll find your bailout is the limiting factor; if on open circuit then it'll be your backgas including any bottom stages. If on a rebreather keep your deco PPO2 higher for a faster exit.
Bottom line: Knowing that compartment 5 controlling your TTS means diddly squat in the grand scheme of things.