This is strange logic of keeping Turkey out. It is like saying Turkey inside NATO means Turk soldiers have large bases inside Western EU.The Muslim factor would deter European countries from allowing Turkey to join the EU. Their respective believe there is far too many Muslim refugees in their countries and with Turkey gaining admittance to the EU will increase the number.
Turkey earliest integration into EU institutions would have given EU greater influence on Turkish society and much wealthier country. There will be less need to emigrate. and Turks hardly on big families unlike some others from global south that came to EU anyway that has become much larger minority with much less integration potential. and i still think post Covid and Ukraine. Europe will need much more people. and Turkey should be put ahead of others.