Issue with nested functions, inheritance and multithreading in python

Question

I'm trying to automatically take data from several websites. I defined a class

class Site1Scraper:
    def __init__(self): ...
    def f1(self): ...
    def f2(self): ...
    def All_f(self):
        self.f1()
        self.f2()

Everything about Site1Scraper works perfectly and has been tested. I'm now trying to define another class MultiThread_Site1Scraper that inherits from Site1Scraper and that starts a thread each time that a method is called and that waits for the previous thread call to finish before doing what it has been called to do. My MultiThread_Site1Scraper is:

class MultiThread_Site1Scraper(Site1Scraper):
    pT = None
    def __init__(self):
        Site1Scraper.__init__(self)
    def f1(self):
        try:
            self.pT.join()
        except:
            pass
        finally:
            self.pT = Thread(target=Site1Scraper.f1, args=(self))
            self.pT.start()
    def f2(self): 
        try:
            self.pT.join()
        except:
            pass
        finally:
            #print(f"{self.p} \t {self.p.is_alive()} \t")
            self.pT = Thread(target=Site1Scraper.f2, args=(self))
            self.pT.start()
    def All_f(self):
        try:
            self.pT.join()
        except:
            pass
        finally:
            self.pT = Thread(target=Site1Scraper.All_f, args=(self))
            self.pT.start()

And my testing program is

def MultiThread_Site1Scraper_Test():
    mt_b = MultiThread_Site1Scraper()
    mt_b.All_f()
    mt_b.f2()

I tried uncommenting the line print(f"{self.p} \t {self.p.is_alive()} \n") and I get: <Thread(Thread-2 (f1), initial)> False I would expect that when the f2 method gets called, it sees that All_f is still ongoing and waits for it to end, but it doesn't. My final goal is to have the MultiThread_Site1Scraper manage by itself the whole multithreading without having to check whether something is still ongoing inside the main program. Any help is deeply appreciated! P.S. Can I also multithread the __init__ in a similar way?