| Unsubstituted (ethylene) Works fine. |
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Monosubstituted Works fine. |
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1,1-Disubstituted Usually works. |
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1,2-Disubstituted Seldom works. |
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Trisubstituted Almost never works. |
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Tetrasubstituted Almost never works. |
The only exceptions to the unreactivity of tri- and tetra-substituted vinyl monomers are those with fluorine, like tetrafluoroethylene (CF2=CF2). The main cause of this reactivity pattern is the steric size of the substituents.
Example for propylene:

The allyl radical (lower structure) is very stable, and forms preferentially. Attempted free radical polymerization of propylene fails.
But methyl methacrylate works fine:

A delicate balance is in effect here. Apparently, the resonance effect of the ester group tips the balance in favor of propagation versus hydrogen abstraction.
Monosubstituted and 1,1-disubstituted vinyl gruops present a choice to the incoming radical (either an initiator fragment or the propagating chain end).

Attack almost always occurs at the least substituted carbon atom, mostly for steric reasons, but also because of the stabilizing effect of the substituent(s). The result is that head-to-tail addition predominates. The exceptions are small substituents like chlorine or especially fluorine.
Any substituents stabilize the chain end radical.
Example for styrene:

Example for t-butylacrylamide:

| Time needed to reach 106 in MW: | |
Styrene |
7.6 s |
Methyl methacrylate |
1.5 s |
Vinyl chloride |
0.13 s |
Results: a steady-state concentration of radicals is established early in the reaction.
The concentration of radicals is very small (ca. 10-8 M) and nearly constant throughout.