Maciamo, this is not correct. Haplogroup T1a-M70 was NOT found in Pre-Pottery Neolithic Jordan but instead was found T1-PF5610 (xT1a1-Z526, T1a1a-CTS9163, T1a1a-CTS2607, T1a2-S11611, T1a2-Y6031, T1a2a1-P322, T1a3a-Y9189), the most probably subclade is T1b which is negative for M70. T1b is not linked to the T1a1 found in the Early Neolithic from the North European Plain.
The mutations defining T1a were not tested. AFAIK there is no SNP defining T1b. This clade was determined using STR variations only and is extremely rare. The PPNB sample in Jordan could have been T1a or T1b, or just T1*. In my opinion it doesn't matter much because statistically the chances of it being T1* or T1a are overwhelming. In any case, all T1 would have expanded from the same region. Most very ancient samples will turn out to be men who did not leave any descendants to this day and therefore belong to extinct clades, or just a clade with an asterisk (like T1*). The older the sample and the higher the statistical chance that an individual did not pass on his Y-DNA to posterity. That's why if you were to test 100 PPNB samples in Jordan (or anywhere else) I would bet that over half of them (perhaps more like 90% of them) would belong to extinct clades (i.e. a Y-DNA lineage not ancestral to anyone alive today). That's exactly what we see with Mesolithic Europeans or the Natufians (lots of extinct C1a2, F*, I*, CT, E1b1*). This is because of natural selection (men born with beneficial mutations in the coding region of the Y chromosome had increased fertility) and because in most human societies in history people with more wealth and power tended to have more children who reached adulthood.
All this to say that whether this sample was T1*, T1a*, T1a1* or whatever, there is a very high likelihood that that particular individual did not pass on his Y-DNA to modern T1a people. But someone else in his tribe, or the neighbouring tribe, would have.