Before Mathematica version 10 it was possible to change globally the PageWidth option used by Put and PutAppend via SetOptions:
 
(* for Put *)
SetOptions[OpenWrite, PageWidth -> Infinity];
(* for PutAppend *)
SetOptions[OpenAppend, PageWidth -> Infinity];
Such possibility is very useful in practice because it allows to maintain a running log file with results of intermediate computations having one expression per line, using such efficient top-level functions as Put and PutAppend:
 
x >>> "log.txt"
Unfortunately starting from version 10 and up to the most recent version 11.2.0 SetOptions no longer affects Put and PutAppend  the above code doesn't change the default behavior (PageWidth -> 78). I know that it is possible in principle to use Export instead of Put, but it is much slower than Put. For PutAppend I don't know a top-level workaround at all.
I have two questions:
 
 
 - Is it a bug? 
- Is there a way to change the default - PageWidthused by- Putand- PutAppendto- PageWidth -> Infinity?
 
P.S. Related Mathematica.SE threads containing some low-level workarounds:
 
Reported to the support as [CASE:3965095].