Yes, the smaller coordinate is always used as the start of the exon and the higher used as the end regardless of the strand. For A3SS and A5SS the column names are assigned as expected based on the names (long, short, flank) and the strand is accounted for as shown in your diagrams. For MXE and RI the column names are assigned just based on the numeric value of the coordinates without considering the strand (similar to SE events). While strand does not change the column names for MXE events, the strand does change which exon is in the "inclusion isoform". This is described in the README under "Event specific columns":
https://github.com/Xinglab/rmats-turbo/tree/v4.1.2#outputFor the diagrams:
A3SS
forward
(1: 57789037): flankingES
(2: 57789155): flankingEE
(3: 57791385): longExonStart_0base
(4: 57791492): shortES
(5: 57791673): shortEE, longExonEnd
reverse
(1: 135360497): flankingES
(2: 135360604): flankingEE
(3: 135353045): shortEE
(4: 135359942): longExonEnd
(5: 135352946): shortES, longExonStart_0base
A5SS
forward
(1: 34240737): shortES, longExonStart_0base
(2: 34240882): shortEE
(3: 34240915): longExonEnd
(4: 34242712): flankingES
(5: 34242795): flankingEE
reverse
(1: 34426071): shortEE, longExonEnd
(2: 34425796): longExonStart_0base
(3: 34426032): shortES
(4: 34425072): flankingES
(5: 34425221): flankingEE
MXE
forward
(1: 271866): upstreamES
(2: 271939): upstreamEE
(3: 272037): 1stExonStart_0base
(4: 272150): 1stExonEnd
(5: 272192): 2ndExonStart_0base
(6: 272305): 2ndExonEnd
(7: 275140): downstreamES
(8: 275201): downstreamEE
reverse
(1: 35685269): downstreamES
(2: 35685339): downstreamEE
(3: 35685064): 2ndExonStart_0base
(4: 35685139): 2ndExonEnd
(5: 35684732): 1stExonStart_0base
(6: 35684807): 1stExonEnd
(7: 35684488): upstreamES
(8: 35684550): upstreamEE
RI
forward
(1: 43059394): upstreamES, riExonStart_0base
(2: 43059714): upstreamEE
(3: 43062190): downstreamES
(4: 43062295): downstreamEE, riExonEnd
reverse
(1: 100376251): downstreamEE, riExonEnd
(2: 100375511): downstreamES
(3: 100375350): upstreamEE
(4: 100375283): upstreamES, riExonStart_0base