Babe Ruth batting order position when pitching.

Babe Ruth played for the Red Sox full time 1915-1919, plus a few games in 1914. Ruth was a pitcher exclusively 1915-1917 and did not play any other position those seasons. In all his starts 1915, 1916, 1917 Ruth batted 9th. However, in 1918 Ruth pitched less as he transitioned to the outfield primarily. See the previous post for details on this:

How much did Babe Ruth pitch and bat at the same time? Monday, April 9, 2018

The question has become more pertinent as Angels rookie Shohei Ohtani shows his doubters that it may be possible to be a modern Babe Ruth, a player who can excel at both pitching and batting at the same time. Prior to 2018 Ohtani had played only in the Japan Pacific League...

Ohtani has now been DH in four games and batted 8th in all four. What's that about?
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Here's Ruth's batting order breakdown for each of his full time Red Sox seasons: 1915, 1916, 1917, 1918, 1919:

1915

I	Split	G	GS	PA	AB	R	H	2B	3B	HR	RBI	SB	CS	BB	SO	BA	OBP	SLG	OPS	TB	GDP	HBP	SH	SF	IBB	ROE	BAbip	tOPS+	sOPS+
	Batting 2nd	1	0	1	1	0	1	1	0	0	1	0		0	0	1.000	1.000	2.000	3.000	2		0	0				1.000	513	781
	Batting 8th	5	0	5	5	0	0	0	0	0	0	0		0	2	.000	.000	.000	.000	0		0	0				.000	-100	-100
	Batting 9th	36	28	97	86	16	28	9	1	4	19	0		9	21	.326	.389	.593	.982	51		0	2			0	.393	106

1916

I	Split	G	GS	PA	AB	R	H	2B	3B	HR	RBI	SB	CS	BB	SO	BA	OBP	SLG	OPS	TB	GDP	HBP	SH	SF	IBB	ROE	BAbip	tOPS+	sOPS+
	Batting 2nd	3	0	3	3	1	1	0	1	0	0	0		0	1	.333	.333	1.000	1.333	3		0	0				.500	247	327
	Batting 3rd	2	0	2	2	1	1	1	0	0	0	0		0	0	.500	.500	1.000	1.500	2		0	0				.500	299	308
	Batting 7th	3	0	3	3	1	1	0	0	1	3	0		0	0	.333	.333	1.333	1.667	4		0	0				.000	328	454
	Batting 8th	4	0	4	3	0	0	0	0	0	0	0		1	0	.000	.250	.000	.250	0		0	0				.000	-21	-16
	Batting 9th	56	40	140	127	15	34	4	2	2	13	0		8	22	.268	.316	.378	.694	48		1	4			0	.311	91	212

1917

I	Split	G	GS	PA	AB	R	H	2B	3B	HR	RBI	SB	CS	BB	SO	BA	OBP	SLG	OPS	TB	GDP	HBP	SH	SF	IBB	ROE	BAbip	tOPS+	sOPS+
	Batting 2nd	1	0	1	1	0	0	0	0	0	0	0		0	1	.000	.000	.000	.000	0		0	0					-100	-100
	Batting 7th	6	0	6	5	0	0	0	0	0	0	0		1	2	.000	.167	.000	.167	0		0	0				.000	-57	-44
	Batting 8th	2	0	2	0	0	0	0	0	0	0	0		2	0		1.000			0		0	0
	Batting 9th	43	38	133	117	14	40	6	3	2	14	0		9	15	.342	.389	.496	.885	58		0	7			0	.380	106	292

1918

I	Split	G	GS	PA	AB	R	H	2B	3B	HR	RBI	SB	CS	BB	SO	BA	OBP	SLG	OPS	TB	GDP	HBP	SH	SF	IBB	ROE	BAbip	tOPS+	sOPS+
	Batting 3rd	7	6	30	24	5	5	0	0	4	7	0		5	9	.208	.345	.708	1.053	17		0	1				.091	111	176
	Batting 4th	75	74	314	262	36	79	23	10	4	43	4		49	41	.302	.415	.511	.927	134		2	1				.346	93	151
	Batting 6th	1	1	4	4	1	2	0	0	1	2	0		0	0	.500	.500	1.250	1.750	5		0	0				.333	246	462
	Batting 7th	2	1	5	4	2	1	0	1	0	2	1		1	2	.250	.400	.750	1.150	3		0	0				.500	132	297
	Batting 8th	2	0	2	1	0	0	0	0	0	0	0		1	0	.000	.500	.000	.500	0		0	0				.000	21	72
	Batting 9th	8	7	27	22	6	8	3	0	2	7	1		3	6	.364	.440	.773	1.213	17		0	2				.429	146	413

1919

I	Split	G	GS	PA	AB	R	H	2B	3B	HR	RBI	SB	CS	BB	SO	BA	OBP	SLG	OPS	TB	GDP	HBP	SH	SF	IBB	ROE	BAbip	tOPS+	sOPS+
	Batting 3rd	1	1	5	3	0	0	0	0	0	0	0		2	2	.000	.400	.000	.400	0		0	0				.000	-12	17
	Batting 4th	121	119	513	407	99	131	33	12	28	108	7		96	54	.322	.458	.668	1.126	272		6	4			0	.317	102	184
	Batting 5th	4	4	15	13	3	7	1	0	1	4	0		2	1	.538	.600	.846	1.446	11		0	0				.545	160	297
	Batting 9th	4	2	10	9	1	1	0	0	0	1	0		1	1	.111	.200	.111	.311	1		0	0				.125	-39	29

In both 1918 and 1919 Ruth batted fourth in the overwhelming majority of his starts. However, amazingly, Ruth still batted 9th in some pitching starts, including 1919 when he broke the season home run record with 29.

1918: batting order position for 19 pitching starts:
4 - 11
7 - 1
9 - 7

1919: batting order position for 15 pitching starts:
4 - 13
9 - 2

So there is inexplicable precedent for the Angels batting Ohtani 8th as DH. Where will he bat in his pitching games in a National Conference park where teams cannot have a DH?