Apologies for this little piece of self amusement and I admit its not a perfect analogy but its strange how things pop into your head sometimes.
Imagine that you are happily driving along the road when you suddenly feel that slightly seasick feeling that the car is not handling properly, starting to wander around and pulling to the left. You suspect a puncture and pull over to the side of the road and find that the tyre is not fully deflated but soft. In other words a slow puncture. You carry on driving at a pace you feel comfortable with so as not to be a danger to yourself or other road users.
Imagine also that you have a passenger who is a cognitive behavioural therapist (god forbid - and here I'm stretching the analogy as even the most committed CBT'er would be unlikely to stay on board). Your passenger tells you that he doesn't think that you have a puncture and that sometimes we all get vague feelings that there's something wrong with the car. He advises you just to ignore these vague feelings and that its perfectly safe to drive a little faster. In fact he suspects that the problem is that you just let the pressure drop too low and that the tyre isn't seated tightly against the rim. Driving too slowly just makes things worse and what you really need to do is drive a little more quickly getting heat and pressure in the tyre which will seal it against the rim. You try this but still feel the car pulling to the left. He suggests that this may be the case (perhaps because of the camber of the road) but is nothing to worry about and just to countersteer to the right to compensate.
You do as recommended and soon begin to gain a little more confidence and are eventually able to drive along more comfortably at 30mph rather than the 10mph pace when you initially found the puncture - but its still a little irritating to the other motorists on this 55mph limit road.
So who is right? Both obviously. You do have a puncture but may have erred on the side of caution rather than cause an accident. In all likelihood you could have driven a little faster and in most cases you will make it home safely. On the other hand the tyre might have punctured completely sending you and your passenger off the road or into oncoming traffic.
Longer term which approach would get you home safely? Ideally you would get to a garage immediately and have the puncture repaired or the tyre replaced (we wish) but as a stopgap you would take the B roads, driving well within the limits of safety and stopping as often as necessary to reinflate the tyre until you get home.
Your passenger however recommends that you continue to gradually build up speed and join the motorway just as soon as you drop him off.
Just a little light relief.