Hi MLC, my LO is a queen at Mantra cries... I usually leave her be because I actually distract her more by having my presence there with her. I can tell now if she is not going to go to sleep and if that is the case, I always walk in (maybe if she has been mantra crying and protesting for about 10-15 mins) and put my hand on her chest (or roll her back over if she is on her tummy) and tell her that it is nap time and time to go to sleep. She usually smiles and giggles at me, so now I do this with a big smile on my face, but a firm voice. Usually this works, she may protest or mantra for another minute or two, but most of the time she goes to sleep. Also, if you LO is taking about 30 mins of babbling before going to sleep, this could indicate that she is undertired when you put her down?
If your LO is mantra crying, personally I wouldn't be doing the ssh/pat - especially if you think it won't work. It can also become a prop if you continue past the point that they need it - the main time to intervene is if she is crying the 'mummmy I need you' emotional cry.
When you ask if you should have done ssh/pat when your LO was crying hysterically, can I ask, how is she with usually self settling? Can she do it most of the time and only needs help when she has reflux or have you only just started with sleep training? Usually the answer would be yes, you should ssh/pat, but my personal thoughts are, we are the ones who knows what works best for our LO's. If they can self settle most of the time and only occasionally need help because of e.g. reflux, then sometimes you need to do what works best. however, if you find that you are rocking her to sleep most of the time - that is definitely AP and what she will need to get to sleep most of the time.
Does your LO fall asleep in her pram at all? Because my LO is so spirited, she finds it really difficult to fall asleep when we are out and about - which makes it tough to go out for a whole day. Even when she does fall asleep, it is generally for only 45 mins at the most. The only way I can get her to sleep is to BF her under a blanket/wrap with all stimulation blocked out - and this is only when she is really tired. Even then, it is touch and go if she will wake up when I put her back in her pram. I usually then cover the pram with the blanket so it still blocks everything out. Have you tried putting your LO to sleep at anyone elses house e.g. in a port-a-cot or on a bed?
Anyway, I hope some of that helps, Kerrie