TI-BASIC (TI-84), 111 bytes

:Ans→Str1:"ABCDEFGHIJKLMNOPQRSTUVWXYZ→Str2:"35344527512513031462452312→Str3:0<sum(seq(expr(sub(Str3,inString(Str2,sub(Str1,X,1)),1)),X,1,length(Str1))-3

I used the same string for determining dot-heaviness as some of the other answers.
Program returns truthy (1) if the input string is dot-heavy, falsy (0) if not.
Input string must be in all-caps.
Input is stored in Ans. Output is stored in Ans and is automatically printed out when the program completes.

Ungolfed:

:Ans→Str1
:"ABCDEFGHIJKLMNOPQRSTUVWXYZ→Str2 
:"35344527512513031462452312→Str3
:0<sum(seq(expr(sub(Str3,inString(Str2,sub(Str1,X,1)),1)),X,1,length(Str1))-3

Example:

"HELLO
HELLO
prgmCDGF3
           1
"CODE
CODE
prgmCDGF3
           0

Explanation:
(TI-BASIC doesn't have comments, assume that ; indicates a commment)

:Ans→Str1                          ;store the input into Str1
:"ABCDEFGHIJKLMNOPQRSTUVWXYZ→Str2  ;store the uppercase alphabet into Str2
:"35344527512513031462452312→Str3  ;store dot-dash+3 for each letter into Str3

:0<sum(seq(expr(sub(Str3,inString(Str2,sub(Str1,X,1)),1)),X,1,length(Str1))-3 ;full logic

   sum(                                                                       ;sum the elements of
       seq(                                                               )    ;the list evaluated by
                sub(                                    )                       ;the substring of
                    Str3,                                                        ;Str3
                         inString(                  ),                           ;at the index of
                                       sub(        )                              ;the substring of
                                           Str1,                                   ;Str1
                                                X,                                 ;starting at X
                                                  1                                ;of length 1
                                  Str2,                                           ;in Str2
                                                      1                          ;of length 1
           expr(                                        ),                       ;converted to an integer
                                                          X,                    ;using X as the increment variable
                                                            1,                  ;starting at 1
                                                              length(Str1)      ;ending at the length of Str1
                                                                           -3   ;then subtract 3 from all elements in the list
  0<                                                                           ;then check if the sum is greater than 0
                                                                               ;implicitly output the result

Note: The byte count of a program is evaluated using the value in [MEM]>[2]>[7] (124 bytes) then subtracting the length of the program's name, CDGF3, (5 bytes) and an extra 8 bytes used for storing the program:

124 - 5 - 8 = 111 bytes