Use of singular or plural form for decimal money units

According to these following articles:

• The Chicago Manual of Style Online:
  Numbers: Q. When referring to decimals from zero to one, are they singular or plural?
• Stack Exchage (English Language & Usage):
  Should we use plural or singular for a fraction of a mile?
• WordReference Forums:
  fraction/ decimal number + noun (singular or plural?)

all decimals use plural form for its units regardless of the integer part being zero, one, two, etc.

i.e.: 0.8 miles, 1.8 miles, 2.8 miles, etc.

Let us now assume we have "$1.01", a decimal with money units. Although the written form contains decimal point, which is the correct way of saying it <A> or <B>?
(Note: what is in between "[ ]" below is optional, you can say it with or without it)

• <A>: one dollar   [and] one [cent]      =   both singular form of units
• <B>: one dollars [and] one [cents]    =   both plural form of units

I believe for "$1.01", although it is in decimal format, <A> is the correct one. This is because the decimal point act rather like a delimiter between 2 units (dollar and cent) with 1 as a value … rather than as a decimal point with 1 unit (dollar).

Out of curiosity, if someone said "$1.01" in decimal format with 1 unit (dollar), then is the following the only valid way of saying it (with plural form of the units).

• one point zero one dollars